Work out the equation of the line which has a gradient of 3 and
passes through the point (-2, 4).​

Answers

Answer 1

Answer:

y=3x+10

Step-by-step explanation:

We can use standard form to write the equation of this line.

y=mx+b

where m=the slope (or gradient) of the line

and where b= the y-intercept

now to solve...

we know the slope (gradient) or m=3

so we can put this in the equation.

y=3x+b

now we must solve for b.

in order to this we can subsitute the coordinate (-2,4) into x and y since

a coordinates values/variable representation is (x,y) -> (-2,4)

So subsituting the coordinate in...

y=3x+b

4=3(-2)+b

simplify.

4=-6+b

b=10

This means the y-intercept=10

so...

y=3x+10

is the equation of the line.


Related Questions

help me or ill fail algebra one I HAVE 4 MODULES AND IM ON 3.5 I GOTTA FINISH BY JANURARY 22 PLS HELP
SOLVE THESE RATIONALS EQUATIONS

Answers

Answer:

4 times 3 equals 12 minus 1 is 11/12  the one you chose is right i hope you dont fail algebra cuz of me

Step-by-step explanation:

2(x-3)+3=6x-5 please show the steps

Answers

Answer:

1/2

Step-by-step explanation:

2(x - 3) + 3 = 6x - 52x - 6 + 3 = 6x - 52x - 3 = 6x - 56x - 2x = -3 + 54x = 2x = 2/4x = 1/2

Every 3 days Ronnie spends 1.5 hours on homework and 2.25 hours on chores. At this rate how many total hours will he spend on homework and chores in 9 days

Answers

Answer: 11.25 hours

Step-by-step explanation:

From the question, we are informed that every 3 days Ronnie spends 1.5 hours on homework and 2.25 hours on chores.

At this rate number of hours that he will spend on homework and chores in 9 days will be:

= 9/3 [1.5 hours on homework + 2.25 hours on chores]

= 3 [1.5 hours on homework + 2.25 hours on chores]

= 4.5 hours on homework and 6.75 hours on chores]

Total hours = 4.5 + 6.75 = 11.25 hours

Answer:

11.25

Step-by-step explanation:

Distance for 3 minutes and at the speed of 17m/s​

Answers

Answer:  speed = 17m/s

              time taken = 3min = 3 x 60 = 180 seconds   (1min = 60sec)

distance = ST

               = speed x time

                = 17 x 180

= 3060m

pls mark as the brainliest

^_^

Which ratio would form a proportion with 24/54

Answers

Answer:

4:9 or 4/9

Step-by-step explanation:

4/9 is the simplified version of 24/54.

Answer:

4:9 or 4/9

Step-by-step explanation:

because when we cut of the number in simpler form so this answer comes.

2+2
4+6
12+100
120x670

Step by step

Answers

Step-by-step explanation:

2+2=4

4+6=10

12+100=112

120×670=80,400

What is the solution to this subtraction sentence? -5/6 – (-1/2)

Answers

Answer:

-5/6+1/2=-2/6 = -1/3

hope it helps

Answer:

-0.33333333333

fraction= -1/3

any more help just ask :)

m= 2

b=-3

y=

I need to find how i can make this into a equation

Answers

Answer: y=2x-3

Step-by-step explanation:

BASIC EQUATION: y=mx+b

m is slope

b is y intercept (where line intersects the y axis)

PLEASE HELP!!!! MATCH THE ANSWERS!! WILL GIVE BRAIN PLEASE!!!!

Answers

Answer:

Range - a  is y<k

Range + a is y>k

Doman always all real numbers

Step-by-step explanation:

Answer:

domain- always all real numbers

and im not too certain about the last 2 but im pretty sure that

range-a is less than or equal to whereas range+a is more than or equal to.

What common side do triangle CDE and triangle FED share?

Answers

Side DE, because those have the same letter they share the same side

Find the measurement of angle b

Answers

Answer:

133

Step-by-step explanation:

Answer:A + angle B + angle C = 180 degrees, we can find the measure of .

Step-by-step explanation:

A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.

Below is a sketch of the graph.
a) Write the inequality of the line.

b) Identify the ordered pair for point A.

c) Identify the ordered pair for point B.

d) State which direction they should shade and why that makes sense in context.

Answers

Answer:

Step-by-step explanation:

Lets denote number of floor tickets by x and

Lets denote number of balcony tickets by y as shown in the figure in the question

so, floor tickets are sold for $15 each which means number of x tickets would be sold by $15 multiplied by x which means 15x and balcony tickets are sold for $12 each which means number of y tickets would be sold by $12 multiplied by y which means 12y furthermore it says they want to make at least $3000 which would mean they want to make at least $3000 or higher meaning ≥3000 so the inequality would be

a) [tex]15x+12y\geq 3000[/tex]

b) The ordered pair A we can see that A is the y-intercept which means the point A can also be written as (0 , y) so we put this point into our equation

15x + 12y = 3000 which is the boundary line. So here goes,

[tex]15x+12y=3000\\15(0)+12(y)=3000\\12y=3000\\y=3000/12\\y=250\\[/tex]

so our y-intercept is 250 which means Point A is (0 , 250)

c) They should  shade the area above the boundary line because in this context the band that is playing wants to make at least $3000 which means they want to make more than $3000 . So when a ≥ sign appear we shade the area above the boundary line and when the ≤ sign appears we shade the area below the boundary line. If it were in the question the bands wants to make at most $3000 then the ≤ would appear.

I have attached a graph to clearly visualize the solution as well.

Say you are considering two loans. Loan F has a nominal interest rate of 5.66%, compounded monthly. Loan G has a rate of 6.02%, compounded semiannually. Which loan will give the lower effective interest rate, and how much lower will it be?
A) Loan G's effective rate will be 0.091 percentage points lower than Loan F's
B) Loan G's effective rate will be 0.058 percentage points lower than Loan F's
C) Loan F's effective rate will be 0.302 percentage points lower than Loan G's
D) Loan F's effective rate will be 0.149 percentage points lower than Loan G's

Answers

Answer:

C) Loan F's effective rate will be 0.302 percentage points lower than Loan G's

Step-by-step explanation:

Formula for effective rate is;

r_eff = [1 + (r/n)]^(n) - 1

Where;

r is interest rate

n is the number of compounding periods per year

Loan F has a nominal interest rate of 5.66%, compounded monthly

Thus: r_eff = [1 + (0.0566/12)]^(12) - 1 = 0.0581

Loan G has a rate of 6.02%, compounded semiannually.

Thus;

r_eff = [1 + (0.0602/2)]^(2) - 1 = 0.0611

Differece = 0.0611 - 0.0581 = 0.003

Converting to percentage gives : 0.003 × 100 = 0.3%

Thus,correct answer is option C

Answer:

C. Loan F’s effective rate will be 0.302 percentage points lower than Loan G’s.

Step-by-step explanation:

What is the change in temperature from 15° to -9°?

-6°

-24°
24°

Answers

Answer:

-24

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

I need help i'm not that good at this stuff.

Answers

Answer: 40

Reason: Okay, so we can see that the line is travelling in a straight line. When we look closely at the graph, we can see that for every two minutes, it makes 80 bottles, and so on and so fourth. We know it makes 80 bottles in two minutes, so let's divide it by two to find out how many bottles it makes in one minute. (Equation for this = 2x = 80) After dividing, we find out that the machine makes 40 bottles per minute

Check: 40 bottles, and multiply it by 2, and we get 80 bottles per two minutes, and that's correct.

I hope this helps, and Happy Holidays!

What is the value of 4x+1

Answers

is there more to the equation or ?

4x+1

after working for 25 hours the mermaid $375 after working 40 hours of the mermaid $600 predict how much he would make after 10 hours

Answers

Answer:

after 10 hours she made 150$

Step-by-step explanation:

:)

Answer:

The total amount made after working 10 hours would be $150

NEED ASAPPPP

The linear equation below describes the graph of a line.
4x – 3y = -12 Which of these is a point on the graph of the line?

Answers

Answer:

(-3,4)

Step-by-step explanation:

to solve for x, make y=0

to solve for y, make x=0

Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)

BRAINIST & 30 POINTS

Answers

Answer:

DF= 33

Step-by-step explanation:

The ratio is equal to 6:5:1 Which can be changed into 18:15:3

Since DE=18 and EF=15 you simply add and = 33

Answer:

df=33

Step-by-step explanation:



April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal,
plus $60 simple interest. What was the interest rate? ***HINT*** Remember, you must first
find out how much interest is paid in 1 YEAR!*
(2 Points)

Help please

Answers

I = 0.2%

not sure lol

but it will be correct i hope so

Sayir is saving up his money to buy a laptop that costs $565.95. Right now he has $205.00, and can save $46.00 each week. How many weeks will it take for Sayir to have enough money for the laptop. Answer the question and put down how you solved it (Answer Choices: A: 6 weeks, B: 7 weeks, C: 8 weeks, D: 9 weeks)

Answers

Answer:

8 weeks

Step-by-step explanation:

You would subtract 565.95 from 205 to get 360.95 then divide it hy each number until you get to 46 and dividing by 8 equals this

A TV has an original price of $499. What is the new price after a 15% increase?

Answers

Given:

Original price of a TV = $499

Price increased by 15%.

To find:

The new price of the TV.

Solution:

According to the question,

New price of the TV = Original price + 15% of its original price.

[tex]\text{New price of the TV}=499+\dfrac{15}{100}(499)[/tex]

[tex]\text{New price of the TV}=499+74.85[/tex]

[tex]\text{New price of the TV}=573.85[/tex]

Therefore, the new price of the TV is $573.85.

I’ll mark as BRANLIEST!!

50 POINTS!!

Plz help me it’s a final and if I don’t do this question or get it wrong I will not go to college god loves you.

Answers

Answer:

15. {1, 3, 5, 7}

16. nothing empty set { }

17. {0, 1, 2, 4, 5, 6, 7, 8, 10}

Step-by-step explanation:

the U means combining the sets that fit the criteria

the upside down U means what fits both criteria

for 16, it asks for contradicting criteria so there is nothing in the set.

please give thanks by hitting the like :)

and brainliest :)

In the diagram, lines JK and LM at N, M MNK = 2x + 30.
What is the value of x?

Answers

Answer:

the valu of x is 15 .....

Dorian buys 2 pound's of almond's for 21.98 and 3 pound's of dried apricots for 26.25 which is less expensive per pound how much less expensive

Answers

Answer: Dried apricots are less expensive they are $8.75

Step-by-step explanation: I divided 21.98 by 2 and got 10.99 then I divided 26.25 by 3 and 8.75 which makes dried apricots less expensive

The variables a and b represent the legs of a right triangle. The variable c represents the hypotenuse. Use the Pythagorean theorem to find the missing side. Write exact answers using radicals when necessary. A = 3, c = 5, find b.

Answers

Given:

a and b are two legs of a right triangle and c is hypotenuse.

a=3 and c=5

To find:

The value of b.

Solution:

According to the Pythagoras theorem,

[tex]hypotenuse^2=(leg_1)^2+(leg_2)^2[/tex]

Using Pythagoras theorem, we get

[tex]c^2=(a)^2+(b)^2[/tex]

Now, putting a=3 and c=5, we get

[tex]5^2=(3)^2+b^2[/tex]

[tex]25=9+b^2[/tex]

[tex]25-9=b^2[/tex]

[tex]16=b^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{16}=b[/tex]

[tex]\pm 4=b[/tex]

The measure of side of a triangle cannot be negative. So, only value of b is 4.

Therefore, the value of b is 4.

free paints and brianliest
Marry christmas guys

Answers

Answer:

Yo

Merry Christmas and have a great day onwards

and thank you ❤

Answer:

thanks a lot friend!!!

Step-by-step explanation:

.......

What is the solution for -10 < x - 9?

Answers

Answer:

-1 < x

Step-by-step explanation:

-10 < x - 9

+9. +9

-1 < x

the temperature t at which water boils is inversely proportional to the number of feet F the water is above sea level. write the related variation equation

Answers

Answer:

Water temperature in an ocean varies inversely to the water’s depth. Between the depths of 250 feet and 500 feet, the formula

T

=

14

,

000

d

gives us the temperature in degrees Fahrenheit at a depth in feet below Earth’s surface. Consider the Atlantic Ocean, which covers 22% of Earth’s surface. At a certain location, at the depth of 500 feet, the temperature may be 28°F.

The related variation equation where k is the constant of proportionality is [tex]t=\frac{k}{F}[/tex]

For inverse variation, if a is inversely proportional to b. This is expressed as:

[tex]a \alpha \frac{1}{b}[/tex]

Introducing the constant of variation will give;

[tex]a=\frac{k}{b}[/tex]

Applying the concept to the question:

If the temperature t at which water boils is inversely proportional to the number of feet F, this is expressed as:

[tex]t \alpha \frac{1}{F}[/tex]

[tex]t=\frac{k}{F}[/tex]

Hence the related variation equation where k is the constant of proportionality is [tex]t=\frac{k}{F}[/tex]

Learn more here: https://brainly.com/question/2798700

There are 132 eighth-grade students at Hoover Middle School. If there are 6 eighth-grade teachers, how many students are there per teacher?

A. 18 students per teacher
B. 22 students per teacher
C. 24 students per teacher
D. 16 students per teacher

Answers

Students/teachers
132/6 = 22
Solution: B
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